solve the given pair of linear equation by using elimination method:-
A)3x + 4y = 10 and x-y=1...
B)3y - 5z = 4 and 9y - 2z = 7..
plzzzzz solve this question immediately.
Answers
Step-by-step explanation:
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Given : A)3x + 4y = 10 and x-y=1... B)3y - 5z = 4 and 9y - 2z = 7..
To find : using elimination method find x & y
Solution:
A)3x + 4y = 10 and x-y=1
3x + 4y = 10 Eq 1
x - y = 1 Eq2
Eq1 + 4 * Eq2
=> 3x + 4y + 4x - 4y = 10 + 4
=> 7x = 14
=> x = 2
Eq 1 - 3 * Eq 2
=> 3x + 4y - (3x - 3y) = 10 - 3
=> 7y = 7
=> y = 1
x = 2 , y = 1
B)3y - 5z = 4 and 9y - 2z = 7.
3y - 5z = 4 .... Eq1
9y - 2z = 7 Eq2
Eq2 - 3 * Eq1
=> 9y - 2z - 9y + 15z = 7 - 12
=> 13z =-5
=> z = -5/13
5 & Eq1 - 1 * eq2
=> 45y - 10z - 6y + 10z = 35 - 8
=> 39y = 27
=> 13y = 9
=> y = 9/13
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